Atkin-Lehner |
3- 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35685i |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23208065375625 = -1 · 310 · 54 · 132 · 612 |
Discriminant |
Eigenvalues |
1 3- 5- -4 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,171,-231822] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1554:1] |
Generators of the group modulo torsion |
j |
756058031/31835480625 |
j-invariant |
L |
5.7791714962417 |
L(r)(E,1)/r! |
Ω |
0.31131215464082 |
Real period |
R |
2.3204890212644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895f2 |
Quadratic twists by: -3 |